Atkin-Lehner |
2- 5+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bs |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-24310000000 = -1 · 27 · 57 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1630,-26003] |
[a1,a2,a3,a4,a6] |
Generators |
[49:75:1] |
Generators of the group modulo torsion |
j |
-30634915689/1555840 |
j-invariant |
L |
11.332441215873 |
L(r)(E,1)/r! |
Ω |
0.3745938961441 |
Real period |
R |
1.0804501794895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310h1 |
Quadratic twists by: 5 |